We are given with the data that the angle of velocity is above the negative axis. hence, the angle lies in the second quadrant with negative x axis and positive y axis. In this case, the x component is -12 cos 60 equal to -6 m/s while the y-component is 12 sin 60 equal to 6 sqrt of 3 m/s.
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Borrowing from the tradition of the ancient Greeks, the first ones
who tried to describe the brightness of stars with numbers ...
6 magnitudes = a ratio of 100 .
In more modern notation . . .
1 magnitude = ratio of (100) ^ (1/6)
= about 2.154...
9.6 magnitudes = (100) ^ (9.6/6)
= 100¹·⁶
= 1,584.89 (rounded)
The speed is 0.956 m / s.
<u>Explanation</u>:
The kinetic energy is equal to the product of half of an object's mass, and the square of the velocity.
K.E = 1/2 m
where K.E represents the kinetic energy,
m represents the mass,
v represents the velocity.
K.E = 1/2 m
1.10 10^42 = 1/2 3.26 10^31
= (1.10 10^42 2) / (3.26 10^31)
v = 0.956 m / s.